# Need help with integrals from Landau-Lifshitz vol. 1 problems

by JevKus
Tags: calculus, integrals
 P: 2 Hi! I'm new to this forum and forums in general, so please be forgiving. I am currently going through problems in Landau-Lifgarbagez's vol. 1 (Mechanics) and encountered two integrals I can't solve. The physical basis of the problem is crystal clear, but I can't do the final computation. The integrals are from problem 2 (b,c) par. 11. Mathematica spits out correct answers, so I won't post the full problem and will only post integrals I'm having problems with. The first one is: $\int_{1}^{a}\frac{dz}{z \sqrt{z^{2} - 1}\sqrt{a^{2} - z^{2}}}$; here $z$ and $a>1$ are assumed to be real. The other one is: $\int_{0}^{a}\frac{dz}{(1 + z^{2})\sqrt{a^{2} - z^{2}}}$. $z$ and $a$ are also assumed to be real. Thank you!